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Finding the Third Proportional to 54,704.13 and 117,778.25

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Solution

The third proportional to 54,704.13 and 117,778.25 is: 253,577.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,704.13 : 117,778.25 = 117,778.25 : x
  2. Step 2: Convert to fraction form
    54,704.13/117,778.25 = 117,778.25/x
  3. Step 3: Cross multiply
    54,704.13x = 117,778.25 × 117,778.25
  4. Step 4: Simplify right side
    54,704.13x = 13,871,716,173.06
  5. Step 5: Solve for x
    x = 13,871,716,173.06/54,704.13
  6. Step 6: Final answer
    x = 253,577.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.